Homework Help: calc

Posted by beckii on Thursday, November 15, 2007 at 8:01pm.

hydrogen is being pumped into a spherical balloon at the rate of 250 cubic inches per minute. in a and b, you must provide an equation with their proper numerical factors when showing the relationships inquired
A) write an equation showing the relationship between the rates at which the volume of the balloon is changing while the radius is changing?
B. write an equation showing the relationship between the rates at which the volume of the ablloon is changing while the area is changing?
C. at what rate is the radius increasing when the volume of the balloon is 972pi incles?

calc - bobpursley, Thursday, November 15, 2007 at 8:08pm
Start with
V=4/3 PI r^3 then take the derivative of each side with respect to time

dV/dt= 4/3 PI * 3r^2 dr/dt

Now do the same with the surface area equation.

For the last, what is radius when V is 972? Put that r into the dV/dt equation.

Answer this Question

Related Questions

calculus - gas is pumped into a spherical balloon at the rate of 1 cubic feet ...
Calculus - Air is being pumped into a spherical balloon and the volume is ...
calculus - Air is being pumped into a spherical balloon so that its volume ...
Calc - Water is leaking out of an inverted conical tank at a rate of 5800 cubic ...
calc 1 - Water is leaking out of an inverted conical tank at a rate of 500.000 ...
Calculus - A spherical party balloon is being inflated with helium pumped in at ...
Calculus - Air is being pumped into a spherical balloon so that its volume ...
math-calculus - A spherical party balloon is being inflated with helium pumped ...
calculus(related rates) - Water is leaking out of an inverted conical tank at a ...
calcalus - Water is leaking out of an inverted conical tank at a rate of 12200 ...

For Further Reading

First Name:
School Subject:
Answer: